Random Masters - Download Randomly Generated Mathematics Worksheets for Primary and High School in Excel or PDF Format

Worksheets on Probability and Statistics

Worksheet Name	Files
Odds		Looks at odds as used in gambling - e.g. horse racing. Requires students to calculate the amount returned for a winning bet at given odds.
Permutations and Combinations		Provides students with practice in finding the number of combinations and permutations of outcomes possible for a given number of trials - e.g. a team of 3 is to be formed from a group of 6 people. How many combinations are possible?
Normal Probability		Students must use a calculator to find the mean and standard deviation of data which is normally distributed. Then, using given information, students calculate z-scores and determine the probabilities of an event occurring using the area under the curve of a standard normal table.
Binomial Probability		Binomial experiments have two possible outcomes, success or failure. In this worksheet students calculate the probability of a certain number of successes in a given number of trials by applying the formula, and by using binomial distribution tables.
Normal Approximations to the Binomial		Students calculate the mean and standard deviation of outcomes in a binomial trial given the number of trials and the probability of success. Then, using given information, students calculate z-scores and determine probabilities from the area under the curve using a standard normal table.
Expected Values		Provides students with practice in calculating the expected value of a trial in three practical situations - betting on a card game, insurance policy values and tossing a number of coins.
Mean, Median, Mode & Range from Lists		Provides students with practice in calculating the mean, median, mode and range from data presented as lists of numbers.
Frequency Tables		Provides students with practice in constructing frequency tables from survey data.
Frequency Tables (Grouped Data)		3 worksheets to provide students with practice in completing frequency tables from survey data, using class intervals (e.g. 0-9, 10-19, 20-29 etc). Students also calculate the mean and mode of the data, and construct histograms and frequency polygons.
Mean, Median, Mode & Range from Frequency Tables		Provides students with practice in calculating the mean, median, mode and range from data presented in frequency tables.
Stem & Leaf Plots		Provides students with practice in constructing stemplots (stem and leaf plots) from given data.
Back to Back Stem & Leaf Plots		Provides students with practice in constructing back to back stemplots (stem & leaf plots) given two sets of data which must be compared.
Five Number Summary & Boxplots		Provides students with practice in determining the five number summary (minimum, 1st quartile, median, 3rd quartile, maximum) from a given dataset and using this to construct a simple boxplot (box and whisker plot)
Contingency (Two-Way) Tables		Students are required to construct contingency tables to display two related sets of data from a given sample (e.g. age and employment status). Students then calculate percentages and make predictions based on these percentages.
Using Random Number Tables		Students explore how to use a random number table to generate a list of random numbers within a specified range. This technique can be useful for randomly selecting a sample from a population.
Sampling Methods		Students are required to perform caculations based on two different sampling methods - stratified random sampling and the capture/recapture method.
Scatterplots		Students construct scatterplots, determine a line of best fit (by eye) and make predictions based on the line of best fit.
Pie/Circle Graphs		Provides students with practice in constructing pie/circle graphs from survey data.
Interpreting Pie/Circle Graphs		Provides students with practice in determining the values represented by different sectors on a pie/circle graph.
Ogives & Percentiles		Given frequency table data, student calculate cumulative frequencies and use these to construct an ogive. Students are then required to answer questions based on the ogive.
Hypothesis Testing (Sign Test)		Requires students to conduct a sign test to determine whether a stated hypothesis is correct given sample data and a set level of significance (alpha level).